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483122640 = 2435711132011
BaseRepresentation
bin11100110010111…
…101110111010000
31020200002011200010
4130302331313100
51442134411030
6115534554520
714654321550
oct3462756720
91220064603
10483122640
1122878a210
12115968a40
13791260b0
1448241160
152c6326b0
hex1ccbddd0

483122640 has 320 divisors, whose sum is σ = 2011871232. Its totient is φ = 92620800.

The previous prime is 483122617. The next prime is 483122641. The reversal of 483122640 is 46221384.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 483122598 and 483122607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483122641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239235 + ... + 241245.

Almost surely, 2483122640 is an apocalyptic number.

483122640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005935616).

483122640 is an abundant number, since it is smaller than the sum of its proper divisors (1528748592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

483122640 is a wasteful number, since it uses less digits than its factorization.

483122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 483122640 is about 21980.0509553549. The cubic root of 483122640 is about 784.6677377305.

The spelling of 483122640 in words is "four hundred eighty-three million, one hundred twenty-two thousand, six hundred forty".